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Question : Directions: Rashmi stepped out of her college and walked 15 m towards the South. She then took a left turn and walked 35 m to reach a pastry shop. She then took a right turn and walked 15 m. She then took a right turn and walked 35 m to reach her house. What is the approximate shortest distance between Rashmi's college and her house via the pastry shop?

Option 1: 38 m

Option 2: 69 m

Option 3: 76 m

Option 4: 54 m


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 76 m


Solution : According to the instructions given, the diagram is as follows –

Now, find the shortest distance between Rashmi's college and her house via the pastry shop –

Here, A is the starting point and E is the finishing point and AE is the total distance from the starting point.

AB = CD = 15m; BC = DE = 35m
By applying the Pythagorean theorem –
(AC) 2 = (AB) 2 + (BC) 2
(AC) 2 = (15) 2 + (35) 2 = 225 + 1225 = 1450
⇒ AC = $\sqrt1450$ = 38m = CE
Now, add AC and CE to find the approximate shortest distance between Rashmi's college and her house via the pastry shop –
AC + CE = 38 + 38 = 76m

So, the approximate shortest distance between Rashmi's college and her house via the pastry shop is 76m. Hence, the third option is correct.

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